5*r-9/r-9=8*r-5/r-5

Solution for 5*r-9/r-9=8*r-5/r-5 equation:

5r-9/r-9=8r-5/r-5

We move all terms to the left:

5r-9/r-9-(8r-5/r-5)=0


Domain of the equation: r!=0

r∈R



Domain of the equation: r-5)!=0

r∈R


We get rid of parentheses

5r-9/r-8r+5/r+5-9=0

We multiply all the terms by the denominator


5r*r-8r*r+5*r-9*r-9+5=0

We add all the numbers together, and all the variables

-4r+5r*r-8r*r-4=0

Wy multiply elements

5r^2-8r^2-4r-4=0

We add all the numbers together, and all the variables

-3r^2-4r-4=0

a = -3; b = -4; c = -4;
Δ = b2-4ac
Δ = -42-4·(-3)·(-4)
Δ = -32
Delta is less than zero, so there is no solution for the equation